TRACE THE PATH. ACCOUNT FOR EVERY AMPERE.
Lose a source, connect the buses and shed demand. See which loads remain supplied and how the battery reserve changes.
Generator, battery, tie and load currents follow node balances. Coloured paths show the solved direction.
Whole-run summary · live values appear above
CAUSE → RESPONSE → COMPARISON
B · solid turquoise A · dashed amber
Time plots share the playback cursor. Design sweeps and phase plots retain their own axes. A stopped run holds its final resolved state.
| Whole-run quantity | A · saved | B · live | B − A | Unit |
|---|
A snapshot includes parameter values and event times. Export retains both configurations and their calculated traces.
THE PHYSICS BEHIND THE RESPONSE
Follow each balance, then connect it to the response above. Open Symbols & units for the notation. A dot denotes a time derivative unless a non-dimensional time is stated.
Every ampere entering a bus must leave it. Tie current is positive from the main bus A to the essential bus B.
Closing the tie allows current to follow the voltage difference. Resistive loads draw less power when bus voltage falls.
A connected source cannot draw reverse current or exceed its current limit. A disconnected source supplies zero current.
Discharge reduces the stored charge. The calculation uses a fraction from 0 to 1; the interface displays a percentage and stops discharge at zero.
Equations describe this bounded teaching model. Assumptions and source references are retained below. Internal calculations use SI units; controls and plots show their own labelled units.
Generic two-bus 28 V DC system. Each generator: 28 V, 0.04 Ω, 120 A limit. Connected tie: 0.03 Ω. Battery: E = 22 + 6SOC V, 0.08 Ω, 100 A limit, ideal capacity counter. Main/essential fixed loads 700/450 W; optional essential-bus load 500 W. Sources are diode isolated. No AC frequency, cable inductance, generator speed dynamics, battery charging, thermal behaviour or aircraft-specific protection logic.
FAA · Aircraft systems ↗Numerical checks test the stated equations. They do not establish aircraft certification or experimental accuracy. Schematic flow markers indicate direction; their speed is illustrative. No manufacturer geometry or performance data is reproduced. Version: coupled-labs-v1.1.